CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2002

  • question_answer
    The equation\[y=A{{\cos }^{2}}\left[ 2\pi nt-2\pi \frac{x}{y} \right]\] represents a wave with:

    A)  amplitude\[A/2,\]frequency\[2n\]and wavelength \[\lambda \]

    B)  amplitude\[A/2,\]frequency\[2n\]and wavelength\[\lambda /2\]

    C)  amplitude A, frequency \[n\]and wavelength

    D)  amplitude A, frequency\[2n\]and wavelength  \[2\lambda \]

    Correct Answer: B

    Solution :

    \[f=\frac{n}{T}=\frac{8}{T}\] velocity attain by plate to fall 10 cm. \[\upsilon =\sqrt{2gh}\] \[=\sqrt{2\times 10\times 0.1}\] \[=\sqrt{2}\,cm/sec.\] Time taken to reach 10 cm. \[\upsilon =u+gt\] \[\sqrt{2}=10t\]                \[\Rightarrow \,t=\frac{\sqrt{2}}{10}\sec \] \[f=\frac{8\times 10}{\sqrt{2}}=56.73\,Hz.\]


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